Least Common Multiple of 9116 and 9123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9116 and 9123 the smallest integer that is 83165268 that is divisible by both numbers.

Least Common Multiple (LCM) of 9116 and 9123 is 83165268.

LCM(9116,9123) = 83165268

LCM of 9116 and 9123

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9116 and 9123

LCM of 9116 and 9123 is 83165268

Least common multiple can be found by multiplying the highest exponent prime factors of 9116 and 9123. First we will calculate the prime factors of 9116 and 9123.

Prime Factorization of 9116


2 9116
2 4558
43 2279
53 53
1

Prime factors of 9116 are 2, 43,53. Prime factorization of 9116 in exponential form is:

9116 = 22×431×531

Prime Factorization of 9123


3 9123
3041 3041
1

Prime factors of 9123 are 3,3041. Prime factorization of 9123 in exponential form is:

9123 = 31×30411

Now multiplying the highest exponent prime factors to calculate the LCM of 9116 and 9123.

LCM(9116,9123) = 22×31×431×531×30411
LCM(9116,9123) = 83165268

Factors of 9116

List of positive integer factors of 9116 that divides 9116 without a remainder.

1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1, 3, 3041, 9123

Least Common Multiple of 9116 and 9123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9116 and 9123, than apply into the LCM equation.

GCF(9116,9123) = 1
LCM(9116,9123) = ( 9116 × 9123) / 1
LCM(9116,9123) = 83165268 / 1
LCM(9116,9123) = 83165268

Properties of LCM 9116 and 9123

(i) The LCM of 9123 and 9116 is associative

LCM of 9116 and 9123 = LCM of 9123 and 9116

Related Least Common Multiples of 9116

Related Least Common Multiples of 9123

Frequently Asked Questions on LCM of 9116 and 9123

1. What is the LCM of 9116 and 9123?

Answer: LCM of 9116 and 9123 is 83165268.

2. What are the Factors of 9116?

Answer: Factors of 9116 are 1, 2, 4, 43, 53, 86, 106, 172, 212, 2279, 4558, 9116. There are 12 integers that are factors of 9116. The greatest factor of 9116 is 9116.

3. What are the Factors of 9123?

Answer: Factors of 9123 are 1, 3, 3041, 9123. There are 4 integers that are factors of 9123. The greatest factor of 9123 is 9123.

4. How to Find the LCM of 9116 and 9123?

Answer:

Least Common Multiple of 9116 and 9123 = 83165268

Step 1: Find the prime factorization of 9116

9116 = 2 x 2 x 43 x 53

Step 2: Find the prime factorization of 9123

9123 = 3 x 3041

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 83165268 = 2 x 2 x 3 x 43 x 53 x 3041

Step 4: Therefore, the least common multiple of 9116 and 9123 is 83165268.